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Is the three perpendicular bisector of a triangle intersect at a point in the exterior of the triangle true or false?
The three ANGLE bisectors of a triangle also bisect the sides, and intersect at a point INSIDE the triangle. The angle bisectors are not necessarily perpendicular to them. The perpendicular bisectors of the sides can intersect in a point either inside or outside the triangle, depending on the shape of the triangle.
Do 3 perpendicular bisectors of a triangle intersect at a point in the exterior of the triangle?
Since the intersection of the perpendicular bisectors of a triangle is the center of the inscribed circle (we call it the centroid of a triangle), the answer is no.
What point of concurrency of the perpendicular bisectors of a triangle?
The three perpendicular bisectors (of the sides) of a triangle intersect at the circumcentre - the centre of the circle on which the three vertices of the triangle sit.
At what point are the angle bisectors of a triangle concurrent?
Angle bisectors intersect at the incenter which is equidistant from the sides
The perpendicular bisectors of a triangle all pass through what point?
all three perpendicular bisectors elongate to meet at the incenter of the triangle.
What is the name of the point where the three perpendicular bisectors intersect?
The circumcenter.
Is the three perpendicular bisector of a triangle intersect at a point in the exterior of the triangle true or false?
The three ANGLE bisectors of a triangle also bisect the sides, and intersect at a point INSIDE the triangle. The angle bisectors are not necessarily perpendicular to them. The perpendicular bisectors of the sides can intersect in a point either inside or outside the triangle, depending on the shape of the triangle.
What is the name of the point at which all of a triangle's perpendicular bisectors intersect?
circumcenter
What kind of triangle do the perpendicular bisectors intersect in a point outside the triangle?
a right triange
What point of concurrency of the perpendicular bisectors of a triangle?
The three perpendicular bisectors (of the sides) of a triangle intersect at the circumcentre - the centre of the circle on which the three vertices of the triangle sit.
Do 3 perpendicular bisectors of a triangle intersect at a point in the exterior of the triangle?
Since the intersection of the perpendicular bisectors of a triangle is the center of the inscribed circle (we call it the centroid of a triangle), the answer is no.
Which term describes the point where the perpendicular bisectors of the three sides of a triangle intersect?
Circumcenter
Which best describes the circumcenter of a triangle?
The point where the perpendicular bisectors of the three sides of the triangle intersect
Name all types of triangles for which the point of concurrency is inside the triangle?
The answer depends on what point of concurrency you are referring to. There are four segments you could be talking about in triangles. They intersect in different places in different triangles. Medians--segments from a vertex to the midpoint of the opposite side. In acute, right and obtuse triangles, the point of concurrency of the medians (centroid) is inside the triangle. Altitudes--perpendicular segments from a vertex to a line containing the opposite side. In an acute triangle, the point of concurrency of the altitudes (orthocenter) is inside the triangle, in a right triangle it is on the triangle and in an obtuse triangle it is outside the triangle. Perpendicular bisectors of sides--segments perpendicular to each side of the triangle that bisect each side. In an acute triangle, the point of concurrency of the perpendicular bisectors (circumcenter) is inside the triangle, in a right triangle it is on the triangle and in an obtuse triangle it is outside the triangle. Angle bisectors--segments from a vertex to the opposite side that bisect the angles at the vertices. In acute, right and obtuse triangles, the point of concurrency of the angle bisectors (incenter) is inside the triangle.
What is the point where the angle bisectors intersect called?
The incentre.
What its it called when the angle bisectors of a triangle at a single point?
The point in which all the angle bisectors intersect is called the incenter.
At what point are the angle bisectors of a triangle concurrent?
Angle bisectors intersect at the incenter which is equidistant from the sides
